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34417864 = 2313225457
BaseRepresentation
bin1000001101001…
…0110011001000
32101202121102201
42003102303020
532302332424
63225405544
7565355425
oct203226310
971677381
1034417864
1118478718
12b6398b4
137190b00
1447dcd4c
15304cd44
hex20d2cc8

34417864 has 24 divisors (see below), whose sum is σ = 69882210. Its totient is φ = 15884544.

The previous prime is 34417849. The next prime is 34417891. The reversal of 34417864 is 46871443.

It can be written as a sum of positive squares in 3 ways, for example, as 7064964 + 27352900 = 2658^2 + 5230^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11377 + ... + 14080.

Almost surely, 234417864 is an apocalyptic number.

It is an amenable number.

34417864 is an abundant number, since it is smaller than the sum of its proper divisors (35464346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34417864 is a wasteful number, since it uses less digits than its factorization.

34417864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25489 (or 25472 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 34417864 is about 5866.6740151469. The cubic root of 34417864 is about 325.2829535816.

The spelling of 34417864 in words is "thirty-four million, four hundred seventeen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 25457 50914 101828 203656 330941 661882 1323764 2647528 4302233 8604466 17208932 34417864